中国物理B ›› 2008, Vol. 17 ›› Issue (2): 399-402.doi: 10.1088/1674-1056/17/2/008
潘军廷, 龚伦训
Pan Jun-Ting(潘军廷) and Gong Lun-Xun(龚伦训)†
摘要: Based on a first order nonlinear ordinary differential equation with at most a sixth-degree nonlinear term which is extended from a type of elliptic equation, and by converting it into a new expansion form, this paper proposes a new algebraic method to construct exact solutions for nonlinear evolution equations. Being concise and straightforward, the method is applied to modified Benjamin--Bona--Mahony (mBBM) model, and some new exact solutions to the system are obtained. The algorithm is of important significance in exploring exact solutions for other nonlinear evolution equations.
中图分类号: (Ordinary differential equations)